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Finding the Third Proportional to 401,012 and 862,288

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Solution

The third proportional to 401,012 and 862,288 is: 1,854,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,012 : 862,288 = 862,288 : x
  2. Step 2: Convert to fraction form
    401,012/862,288 = 862,288/x
  3. Step 3: Cross multiply
    401,012x = 862,288 × 862,288
  4. Step 4: Simplify right side
    401,012x = 743,540,594,944
  5. Step 5: Solve for x
    x = 743,540,594,944/401,012
  6. Step 6: Final answer
    x = 1,854,160.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.